2. Verify: sin x+tan x %3D sin2x sec x cscx+cotx

Q: Solve the DE: tan xsin y y'+(3 tan x-2 cos y) sec x=0

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Q: SOLVE USING VAREATION Of PARAMETERS OR REDUCTION of ORDER 2 tan'x

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Q: If x = ln ( sec x + tan x) , show that sec x = cosh x

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Q: convert csc x/ cos x to sec^2 x/ tan x

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Q: Find the value →21. csc (sec- 2) + cos (tan¬1 (– V3))

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Q: Differentiate. y = In Sin x  - 1/2Sin2 x

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Q: 28. tan (2x) sec (2x) dx

A: follow the procedure given below.

Q: (g) tan sec2 dx (c) sin“(3x) cos (3x) dx CoS'

A: Given: I1=∫sin43xcos33xdx, I2=∫tan4x2sec2x2dx

Q: Find SinZx, Lo52x, Tan2x Cosxニーニ 3. and X terminates in quadrant 2 Sin2x = Cos 2x = tan 2x =

A:

Q: tan x sec X 3 10 cos xdydx

A: Given : Double integral ∫0π/2∫0tan x sec x y3 cos10x dydx   To find : Evaluate the given double…

Q: Find   tan(u/2)   if   sinu=−0.723

A:

Q: 1/tanx+secx=cosx/sinx+1  verify

A: We simplify the left-hand side first. Multiplying by (secx-tanx) in numerator and denominator.

Q: verify the identity: sin(x+y) + sin(x-y)         = tanx cos(x+y)+cos(x-y)

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Q: If y=sin(sinx) show that y''+(tan x) y'cos2x=0

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Q: 7/3 x tan (x) dx 2

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Q: 4 tan(x) sec2 (x) tan(x) + 1

A:

Q: inetgrate sin^2(x)csc^2(2x)

A: Given: Let I=∫sin2xcsc22xdx To Find: To integrate the given integration.

Q: sin x 5 2 0, cos x

A:

Q: 16. Using the Quotient tanx= sinx/cosx to prove d/dx tanx=sec2x

A: Quotient rule of differentiation

Q: Describe the technique for finding ∫ sec5 x tan7 x dx. Do not integrate.

A: Given ∫sec5x tan7x dx

Q: (³² sin æcosx tan³ xcot³ x sec xcscx dx

A:

Q: 2- tan²x + 1 + tanx secx = 1+sinx cos²x

A: To show that , tan2x+1+tanx.secx=1+sinxcos2x

Q: f y=sin(sinx) show that y'' +(tanx) y''+y cos2x=

A: Given that y=sinsinx To show that y''+tanxy'+ycos2x=0

Q: Verify the identity sin 2t - tan t = tan t cos 2t.

A: Given:sin2t-tant=tant cos2tTrigonometry formula:sin2t=2sint costtant=sintcostcos2t=cos2t-sin2t

Q: Evaluate / 5 sec2 *dx tan(x) 05 In(|tan(x)|) + C Oln(tanx) + C 05 In(x) + C 05 tan(x) + C

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Q: Evaluate S tan'x sec'x dx sec x 2 secx sin x - 2 sin'x + sin'x +C 3 3 Option 1 O Option 2 - cos'x +…

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Q: 1-sin' x 3D sin.x 6. cosxcotx

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Q: Evaluate (tan x cos x) dx А. cos x + C cos x + C - С. - sin x + C D. sin x + C B.

A:

Q: verify the identity: tanx + secx = sinx + 1                            cosx

A: Given,

Q: Using suitable method, show that 2 tan" (x+2) dx =- – In 2 .

A: We use integration by parts to find integral tan inverse x.

Q: Find y': y = cot 0 sin 0 O sin² 0 1-tan²0 O1+sin² 0 cos³0 O-1-cos² e sin³0 3

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Q: Show that cos( arctan( sin( arccot(x)))) = sqrt{{x^2+1}/{x^2+2}}

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Q: Find x where 0 ≤ x ≤ 2π. 4 cot²x = cos²x + sin²x - 1

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Q: If x= ln (sec θ +tan θ) , show that sec θ = cosh x .

A: It is given that  x= ln (sec θ +tan θ)

Q: 9.f tan3³ x √sec x dx

A:

Q: Complete the proof of the identity by choosing the Rule that justifies each step. cotx (1+ tan'x) -…

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Q: sec : tan/ sin :: cos :

A: As we know cos and sec are reciprocal of each other.  Therefore sec:tan/sin Then cos:sin/tan

Q: In(|tan(x) sin(x)|) = 2 In(|sin(x)]) + In(|sec(x)])

A:

Q: sinx(tan(x/2))-sinx=0

A: sin x tanx2-sin x=0

Q: 10. tan'x sec x dx

A: Given query is to find the value of the integral.

Q: Simplify sin x(cotx + tan x) secx COSX COSx - 2 CSCX + 1

A: "Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: verify tan(y)/csc(y)=1/cos(y)−1/sec(y)

A: Given data:     The given trigonometric expression is: tan(y)/csc(y) =1/cos(y) -1/sec(y).     To…

Q: Verify Cot x+ 1 = CSCx (Cosx + sin x)

A: Right-hand side: CSCx (Cosx + sin x)=CSCxCosx+CSCxsinx---(1) We know that CSCx=1/sinx and…

Q: 1 (tan x + cot х) sec x %D 1/cosx 1/sinx 1

A: Given query is to find the correct option for the expression.

Q: If f(x) 3 tan-'(3 sin(3x)), f'(z) =

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Q: Differentiate x sin-1 (x) with respect to sin¯'x. х.

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Q: Compute sin x et + 3e-x

A: